Find the range f(x)=x^3-3 with domain[-1,2]
f(x)=
use the method of graph to find the range of given function
when f(x) is replaced with {f(x)-t} than the graph shifts down by t units
to draw the graph of {x^3-3}
first draw the graph of x^3 then shifts it down by 3
units
the range of the function will be [f(-1),f(2)]
f(-1)=(-4) f(2)=5
therefore range of the function will be [(-4),5]
note:the above function is monotonically increasing therefore we can directly find the range of the function by putting the interval of domain
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